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Finding the Fourth Proportional to 285,196.20, 393,572.70 and 157,869.06

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Solution

The fourth proportional to 285,196.20, 393,572.70 and 157,869.06 is: 217,860.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,196.20 : 393,572.70 = 157,869.06 : x
  2. Step 2: Convert to fraction form
    285,196.20/393,572.70 = 157,869.06/x
  3. Step 3: Cross multiply
    285,196.20x = 393,572.70 × 157,869.06
  4. Step 4: Simplify right side
    285,196.20x = 62,132,952,190.66
  5. Step 5: Solve for x
    x = 62,132,952,190.66/285,196.20
  6. Step 6: Final answer
    x = 217,860.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.